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Finding the Fourth Proportional to 213,675.84, 320,805.36 and 108,569.16

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Solution

The fourth proportional to 213,675.84, 320,805.36 and 108,569.16 is: 163,001.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,675.84 : 320,805.36 = 108,569.16 : x
  2. Step 2: Convert to fraction form
    213,675.84/320,805.36 = 108,569.16/x
  3. Step 3: Cross multiply
    213,675.84x = 320,805.36 × 108,569.16
  4. Step 4: Simplify right side
    213,675.84x = 34,829,568,458.70
  5. Step 5: Solve for x
    x = 34,829,568,458.70/213,675.84
  6. Step 6: Final answer
    x = 163,001.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.